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math.RT2026
On the Twisted Group Ring Isomorphism Problem for isoclinic groups
Sumana Hatui, Sahanawaj Sabnam
In this article, we consider a general version of the classical group ring isomorphism problem, called the twisted group ring isomorphism problem (TGRIP), which determines an isomo…
math.RT2026
On the Faithful Projective Representations of Finite Groups and their Minimal Dimension
Sumana Hatui, Poonam Nayak
The first part of this article is devoted to characterizing the cocycles of a finite group that give rise to faithful projective representations of . We prove that a …
math.GR2026
On the Schur multiplier of -groups with abelianization -elementary abelian
Sumana Hatui, Tony Nixon Mavely, Sahanawaj Sabnam
Let be an odd prime. We describe a method to compute the Schur multiplier of finite -groups of nilpotency class such that is isomorphic to direct product o…